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Ever to Excel
Six hundred years old, aware of its past, but facing forward, the University of St Andrews remains distinct. Now, more than ever throughout its long, sometimes troubled and often distinguished history, the University invites the highest objective: 'ever to excel'.Norman H. Reid uses the University's own rich archival holdings to introduce the reader to the vibrant and often turbulent 600-year story of the University and its town, set in the wider historical contexts of society, religion, politics and intellectual thought.
Euclidean Geometry and its Subgeometries
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems for triangles, embed...
